Our collaboration announced in 2017 the intention to carry out a systematic study of
confining, lattice gauge theories in the \(Sp(2N)\)  sequence, coupled to various
types of fermion matter fields [1]}. We have published results
for the \(Sp(4)\)  gauge theory coupled to \(N_f=2\) 
dynamical fermions transforming in the fundamental representation
of the group [2]}, [3]}, and for
quenched fermions in mixed (fundamental and antisymmetric)
representations [4]}.
We have calculated the spectra of glueballs and strings in
the \(Sp(2N)\)  Yang-Mills theories [5]}, [6]}—reaching far beyond
the pioneering lattice work
for \(N=2,3\)  in Ref. [7]}.
Besides the ambitious applications in the CHM context,
an equally important physics motivation relates to models of dark matter with
strong-coupling origin [8]}, [9]}, [10]}
(see also the more recent Refs. [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}).
On more general grounds, we aim at putting our numerical understanding of these theories on
a level comparable to that achieved for the \(SU(N_c)\)  theories, in
reference to the approach to the large-\(N_c\)  limit [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}, [26]}, [27]}, [28]},
but also for the purposes of determining the boundaries of the
conformal window [29]}, [30]}, [31]}, [32]}, and of testing their EFT description [33]}.
We will deliver further publications on the topology of
\(Sp(2N)\)  gauge theories, and their quenched meson spectra, as well as on the
(partially quenched) dynamical theory with \(n_f=3\)  dynamical antisymmetric fermions—preliminary results
have been presented in Ref. [34]}, [35]}.
